On the one hand, he was extremely dedicated to achieving unconditional surrender. On the other hand, he was more willing to work with Stalin (afaik) than Truman, and Byrnes would never have become Secretary of State. Would FDR living to the end of WW2 have changed the outcome of the war with Japan?
Japan was chosen as a target in 1943. The reasoning given was that the Germans would be more likely to gain information from a failed bombing and possibly then develop their own bombs, but yeah, racism has to play a role in that decision.
I guess my own initial response to my question is no though, because even Truman understood that once the Soviets invaded, Japan would likely surrender. The difference though is that Truman didn't want the Soviets to invade if he could avoid it, since him and Byrnes were so anti-Soviet, whereas FDR and Stettinius might be more willing to end the war with the help of the Soviets. FDR might've also included the Soviets on the Potsdam Declaration, ending the war sooner without the bomb.
I do agree FDR probably would've wanted to drop the bomb on Japan rather than Germany, but I think also FDR could've ended the war without dropping the bomb at all.